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286289740 = 2251123291951
BaseRepresentation
bin10001000100000…
…110111101001100
3201221201000200201
4101010012331030
51041242232430
644224103244
710044264652
oct2104067514
9657630621
10286289740
1113766a7a0
127ba64b24
134740a519
142a044dd2
151a2018ca
hex11106f4c

286289740 has 96 divisors (see below), whose sum is σ = 708341760. Its totient is φ = 96096000.

The previous prime is 286289723. The next prime is 286289747. The reversal of 286289740 is 47982682.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (286289747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145765 + ... + 147715.

It is an arithmetic number, because the mean of its divisors is an integer number (7378560).

Almost surely, 2286289740 is an apocalyptic number.

286289740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286289740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354170880).

286289740 is an abundant number, since it is smaller than the sum of its proper divisors (422052020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

286289740 is a wasteful number, since it uses less digits than its factorization.

286289740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 286289740 is about 16920.0986994757. The cubic root of 286289740 is about 659.0756420288.

The spelling of 286289740 in words is "two hundred eighty-six million, two hundred eighty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 1012 1265 1276 1334 1595 1951 2530 2668 3190 3335 3902 5060 6380 6670 7337 7804 9755 13340 14674 19510 21461 29348 36685 39020 42922 44873 56579 73370 85844 89746 107305 113158 146740 179492 214610 224365 226316 282895 429220 448730 493603 565790 622369 897460 987206 1131580 1244738 1301317 1974412 2468015 2489476 2602634 3111845 4936030 5205268 6223690 6506585 9872060 12447380 13013170 14314487 26026340 28628974 57257948 71572435 143144870 286289740